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Finding the Fourth Proportional to 6,934.93, 9,571.28 and 4,418.15

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Solution

The fourth proportional to 6,934.93, 9,571.28 and 4,418.15 is: 6,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,934.93 : 9,571.28 = 4,418.15 : x
  2. Step 2: Convert to fraction form
    6,934.93/9,571.28 = 4,418.15/x
  3. Step 3: Cross multiply
    6,934.93x = 9,571.28 × 4,418.15
  4. Step 4: Simplify right side
    6,934.93x = 42,287,280.78
  5. Step 5: Solve for x
    x = 42,287,280.78/6,934.93
  6. Step 6: Final answer
    x = 6,097.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.